Physics Test 99...

Two stretched strings have length ℓ and 2ℓ while tensions are T and 4T respectively. If they are made of same material the ratio of their fundamental frequency is :

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork :

Two strings x and y of a sitar produce a beat frequency 4 Hz. When the tension of the string y is slight increased the beat frequency is found to be 2 Hz. If the frequency of x is 300 Hz then the original frequency of y was :–

A string is producing transverse vibration whose equation is: y = 0.021 sin (x + 30t), where x and y are in meters and t is in seconds. If the linear mass density of the string is 1.3 × 10^–4 kg/m then the tension in the string in newton will be

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ₁ and ρ₂ respectively. The compressibility of the gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is:–     

If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been :-

An asteroid of mass M is approaching earth , initially at a distance of 10 R_e (from center of earth) with speed v_i , it hits the earth with a speed v_f (R_e and M_e are radius and mass of earth), then :-

The mass of a space-ship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of 'g' and 'R' (radius of earth) are 10 m/s² and 6400 km respectively. The required energy for this work will be :-

Particles of masses 2M, m and M are respectively at points A, B and C with AB = 1/2 (BC). m is much-much smaller than M and at time t = 0, they are all at rest. At subsequent times before any collision takes place :-

A satellite is orbiting the earth in a circular orbit of radius r. Its :-